Whole Part and Fractional Part
This mixed decimal combines the whole part 1 with the fractional part 748/1000. In place-value words, "and" marks that boundary.
Decimal in the thousandths place
1.748 in Words
1.748 is a positive terminating decimal greater than 1. It has 3 decimal places, and its final digit is in the thousandths place.
Direct Answer
1.748 in words is one point seven four eight.
1.748 Place-Value Breakdown
The digits 1 form the whole-number part, while 7 in the tenth place, 4 in the hundredth place, and 8 in the thousandth place.
| Part | Digit | Place | Digit value |
|---|---|---|---|
| Whole part | 1 | ones | 1 |
| Decimal part | 7 | tenth | 7/10 |
| Decimal part | 4 | hundredth | 4/100 |
| Decimal part | 8 | thousandth | 8/1000 |
What Kind of Decimal Is 1.748?
1.748 is a positive terminating decimal greater than 1. It is written to the thousandths place.
Expanded Form of 1.748
1.748 = 1 + 7/10 + 4/100 + 8/1000
1.748 = 1 + 748/1000
1.748 = 1 187/250
The final nonzero digit is in the thousandths place, so its value is expressed with a denominator of 1000.
How 1.748 Simplifies to 437/250
1.748 = 1748/1000
The greatest common divisor of 1748 and 1000 is 4.
1748 ÷ 4 = 437
1000 ÷ 4 = 250
Therefore, 1748/1000 = 437/250.
As a mixed fraction, the value is 1 187/250.
1.748 as a Percentage
To convert 1.748 to a percentage, multiply it by 100.
1.748 × 100 = 174.8
Therefore, 1.748 = 174.8%.
Decimals Equivalent to 1.748
1.748 = 1.7480 = 1.74800
Adding zeros to the right of a decimal does not change its numerical value. It does change the number of written decimal places and may communicate different precision.
| Decimal | Final place | Exact fraction | Simplified value |
|---|---|---|---|
| 1.748 | thousandths | 1748/1000 | 437/250 |
| 1.7480 | ten-thousandths | 17480/10000 | 437/250 |
| 1.74800 | hundred-thousandths | 174800/100000 | 437/250 |
1.748 on a Number Line
1.748 lies between 1 and 2. It is 0.252 below 2 and 0.748 above 1.
11.7482
1.748 Compared with Similar Decimals
| Decimal | Spoken form | Place-value form | Fraction | Percentage | Relationship |
|---|---|---|---|---|---|
| 0.1748 | zero point one seven four eight | one thousand seven hundred forty-eight ten-thousandths | 437/2500 | 17.48% | ten times smaller than 1.748 |
| 1.748 | one point seven four eight | one and seven hundred forty-eight thousandths | 437/250 | 174.8% | current value |
| 1.7480 | one point seven four eight zero | one and seven thousand four hundred eighty ten-thousandths | 437/250 | 174.8% | same numerical value, written to the ten-thousandths place |
| 17.48 | seventeen point four eight | seventeen and forty-eight hundredths | 437/25 | 1748% | ten times larger than 1.748 |
Quick Practice
How is 1.748 read digit by digit?
One point seven four eight.
What is the place-value word form of 1.748?
One and seven hundred forty-eight thousandths.
What fraction is 1.748 in lowest terms?
437/250.
What percentage is equal to 1.748?
174.8%.
What is 1.748 as a mixed fraction?
1 187/250.
Between which whole numbers does 1.748 lie?
Between 1 and 2.
Frequently Asked Questions
How do you write 1.748 in words?
1.748 in words is one point seven four eight.
Why is 1.748 called one and seven hundred forty-eight thousandths?
Because the digit 7 is in the thousandths place. Therefore, 1.748 represents one and seven hundred forty-eight thousandths.
What fraction is 1.748?
1.748 is 1748/1000 exactly and 437/250 in lowest terms.
Can 1748/1000 be simplified?
Yes. Divide its numerator and denominator by 4 to get 437/250.
What percentage is 1.748?
1.748 is equal to 174.8%.
Is 1.748 the same as 1.7480?
Yes. 1.748 and 1.7480 have the same numerical value. However, 1.748 is written to the thousandths place, while 1.7480 is written to the ten-thousandths place and may communicate greater recorded precision.
Is 1.748 larger than 0.1748?
Yes. 1.748 is ten times as large as 0.1748.
What type of decimal is 1.748?
1.748 is a positive terminating decimal greater than 1. It is written to 3 decimal places and represents one and seven hundred forty-eight thousandths.